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Trees in Trees: Is the Incomplete Information about a Tree Consistent?

Author Eryk Kopczynski

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Eryk Kopczynski

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Eryk Kopczynski. Trees in Trees: Is the Incomplete Information about a Tree Consistent?. In Computer Science Logic (CSL'11) - 25th International Workshop/20th Annual Conference of the EACSL. Leibniz International Proceedings in Informatics (LIPIcs), Volume 12, pp. 367-380, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2011)


We are interested in the following problem: given a tree automaton Aut and an incomplete tree description P, does a tree T exist such that T is accepted by Aut and consistent with P? A tree description is a tree-like structure which provides incomplete information about the shape of T. We show that this problem can be solved in polynomial time as long as Aut and the set of possible arrangements that can be forced by P are fixed. We show how our result is related to an open problem in the theory of incomplete XML information.
  • XML
  • tree automata
  • incomplete tree descriptions
  • Euler cycle


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